High School

Ralph went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks and put the rest of the money on a gaming card to spend at the arcade. Each game in the arcade costs $1.25.

How many games, \( g \), can Ralph play in the arcade?

A. \( g \leq 32 \)
B. \( g \geq 32 \)
C. \( g < 32 \)
D. \( g > 32 \)

Answer :

Final answer:

After spending on food and drinks, Ralph has $40.75 left. Each game costs $1.25, so Ralph can play 32 games at the arcade. Therefore, the answer is (A) g <= 32.

Explanation:

The subject of this math problem is determining how many games Ralph can play at the arcade. First, we need to find out how much money Ralph has left after purchasing food and drinks. He started with $55 and spent $14.25, leaving him with $55 - $14.25 = $40.75. Each game costs $1.25, so we divide his remaining money by the cost of each game: $40.75 / $1.25 = 32.6.

However, Ralph cannot play a fraction of a game, so we round down to the nearest whole number, that is 32 games. Therefore, the answer to the question 'How many games, g, can Ralph play in the arcade?' is (A) g <= 32.

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